4. Calculational Definitions and Desired Results
4.1 Beginning-of-Life Calculations
Table 3 contains the list of calculations that are to be performed at BOL with fresh fuel material. The calculations are to be performed both for the assembly configuration with only water in the guide tubes and with burnable poison rods in the guide tubes.
The desired results for the BOL calculations
are:
1. Ratio of total neutron production to
total absorption
2. Effective multiplication factor (keff)
3. Pin fission density distribution (normalized)
4. Total Capture and fission rates and
fraction of the total capture and fission rates by
235U,
238U, 239Pu, 240Pu, 241Pu,
135Xe in each pin.
5. The 135Xe concentration
in each pin for the HFP cases only.
The pin fission density density should be normalized such that the average value is unity.
4.2 Burnup Calculations
A three-cycle irradiation of the assembly is to be performed in the HFP conditions using a constant soluble boron concentration of 550 ppm. Each cycle burnup is 15 GWD/MTHM and results in a discharge burnup of 45 GWD/MTHM. The burnable poison rods are present in the first cycle and are removed for the subsequent two
| Calculation | Burnable Position Rods Present? | Operational Condition | Boron Concentration (ppm) |
| BOL-1 | No | CZP | 1200 |
| BOL-2 | Yes | CZP | 1200 |
| BOL-3 | No | HZP | 1200 |
| BOL-4 | Yes | HZP | 1200 |
| BOL-5 | No | HFP | 1100 |
| BOL-6 | Yes | HFP | 1100 |
| BOL-7 | No | HFP | 550 |
| BOL-8 | Yes | HFP | 550 |
| BOL-9 | No | HFP | 0 |
| BOL-10 | Yes | HFP | 0 |
cycles (the guide tubes remain). The following
results are desired at each 1.5 GWD/MTHM increment (30 intervals over the
three-cycle irradiation):
1. Ratio of total neutron production to
total absorption
2. Effective multiplication factor (keff)
3. Total capture and fission rates and
fraction of the total capture and fission rates by
235U,
238U, 239Pu, 240Pu, 241Pu,
135Xe, and total fission products for the entire assembly
4. U, Np, Pu, Am, and Cm content and isotopics
for the entire assembly
In addition, at each 7.5 GWD/MTHM increment (middle and end of cycle) the following quantities are desired (6 intervals over the three-cycle irradiation):
5. Pin fission density distribution
6. Total capture and fission rates and
fraction of the total capture and fission rates by
235U,
238U, 239Pu, 240Pu, 241Pu,
135Xe and total fission products in each pin
7. U, Np, Pu, Am, and Cm content and isotopics
in each pin
4.3 End-of-Life (EOL) Calculations
Using the EOL conditions from Section 4.2 perform the calculations given in Table 4. For the EOL cases, the ratio of production to absorption and the effective multiplication factor (keff) are to be calculated.
| Calculation | Operational Condition | Boron Concentration (ppm) | Other Conditions |
| EOL-1 | HFP | 1100 | none |
| EOL-2 | HFP | 550 | No fission products |
| EOL-3 | HFP | 550 | No 135Xe |
| EOL-4 | HFP | 0 | none |
| EOL-5 | CZP | 1200 | none |
| EOL-6 | CZP | 550 | none |
| EOL-7 | CZP | 0 | none |
4.4 Other Calculational Results and Data
A complete description of the data libraries and codes used to perform the calculations should be submitted. This description should include the origin of the cross section data, methods used for the cross section processing, and methods used for the keff and power distribution calculations. In the case of discrepancy, participants should be prepared to submit cross sections and neutron fluxes in a energy group structure to be determined later along with detailed fission product inventories.
4.5 Submission of Electronic Results
For comparison purposes it is desirable
that all results be submitted electronically for distribution. For simplicity
it is recommended that all pin-by-pin results be arranged in tabular format
by pin number as shown in Figure 1. An example of such a table is given
in Appendix B. The results for each benchmark section should be grouped
together and well labeled.